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Antagonistic model of random sequential adsorption of two-species discorectangles

Nikolai Lebovka1,*, Leonid A. Bulavin2, and Nikolai Vygornitskii1

  • *Contact author: lebovka@gmail.com
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Phys. Rev. E 114, 025501 – Published 3 August, 2026

DOI: https://doi.org/10.1103/9gy6-2d3b

Abstract

An antagonistic random sequential adsorption (RSA) model is investigated to describe competitive adsorption on an adsorbent surface by particles of two types, a and b. The degree of competition is characterized by the probability pa(pb=1−pa) that an arriving particle is of type a. Particles of both types are modeled as discorectangles with aspect ratio ɛ=l/d, where l and d denote the particle length and thickness, respectively. Each particle is surrounded by a shell of thickness δ, which induces repulsive interactions between particles of opposite types. This repulsion leads to the spontaneous formation of clusters consisting of particles of a single type, separated from clusters of the opposite type by cavities of thickness approximately 2δ. The mechanisms governing the formation of the adsorption layer and the resulting jamming coverage are analyzed. In addition, the dependence of the shell percolation threshold, δc, on the probability pa is examined for different values of the shell thickness δ and the aspect ratio ɛ.

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Phys. Rev. E 114, 025501– Published 3 August, 2026
  • Received 16 February 2026
  • Accepted 13 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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